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Mathematics


MATH 1 Calculus Units 5
Prerequisites: MATH 36, or MATH 30 and MATH 31 each with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is the first course in the three-semester Calculus series, which concentrates on an introduction to the Calculus of single variable functions. The topics include an introduction to the concepts of numerical, graphical, and symbolic differentiation and integration of functions, with an emphasis on applications. (UC, CSU, CAN MATH 18, CAN MATH SEQ B with both MATH 1 and 2, CAN MATH SEQ C with both MATH 1, MATH 2, and MATH 3)

MATH 1L Calculus Computer Laboratory Units 1
Prerequisites: MATH 1 or concurrent enrollment in MATH 1.
Limitations on Enrollment: None.
Advisories: None.

This course is designed to enhance the student's understanding of calculus through the use of a Computer Algebra System. The course is based on computer laboratory experimentation centering around graphical, numerical, and algebraic analysis of topics of calculus. (CSU)

MATH 2 Calculus Units 4
Prerequisites: MATH 1 with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is the second course in the three semester Calculus series. Topics include techniques of integration, applications of the integral, an introduction to solutions of differential equations, and infinite series representations of functions. (UC, CSU, CAN MATH 20, CAN MATH SEQ B with both MATH 1 and 2, CAN MATH SEQ C with both MATH 1, MATH 2, and MATH 3)

MATH 3 Vector Calculus Units 4
Prerequisites: MATH 2 with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is an introductory course in the study of calculus of multivariate functions. The course includes a computer laboratory component complementing the lecture component. Lecture and laboratory topics include vectors, parametric curves, polar, cylindrical, and spherical coordinates, partial differentiation, multiple integrals, line and surface integrals, and the theorems of Gauss, Stokes, and Green. (UC, CSU, CAN, MATH 22, CAN MATH SEQ C with both MATH 1, 2, and 3)

MATH 4 Differential Equations Units 4
Prerequisites: MATH 2 with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is an introductory course in the study of elementary differential equations. The course includes a computer laboratory component complementing the lecture component. Lecture and laboratory topics include first and second order linear differential equations, nonlinear differential equations, power series solution methods, the Laplace transform, solutions near ordinary and singular points, and systems of linear differential equations. (UC, CSU, CAN, MATH 24)

MATH 5 Linear Algebra Units 3
Prerequisites: MATH 2 with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is an introduction to linear algebra for the student anticipating a career in mathematics, engineering, physical science and some business curricula. Topics include geometrical vectors, matrices and linear equations, vector spaces, linear transformations, determinants, and inner product spaces. The course includes applications. (UC, CSU, CAN MATH 26)

MATH 10 Introduction to Contemporary Mathematics Units 3
Prerequisites: MATH 82 or MATH 84A and 84B with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is a one-semester introduction to the mathematical sciences. Contemporary applications of mathematics include concepts in the areas of management science, statistics, social choice, size and growth, and computer science. Real world applications of these topics are presented. This course is designed to satisfy mathematics requirements for the liberal arts non-science major. (CSU)

MATH 12 Introduction to Probability and Statistics Units 4
Prerequisites: MATH 82 or 84A and 84B with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is designed to acquaint the student with elementary techniques used in statistical methods. Emphasis is on descriptive statistics, elementary probability concepts, probability distributions, statistical inference, and simple linear regression analysis, with applications in business administration, education, natural sciences, psychology, and social science. A graphing calculator is recommended. Instructor demonstrations utilize the TI-83 calculator. (UC, CSU, CAN STAT 2)

MATH 13 Survey of Calculus Units 3
Prerequisites: MATH 82, or MATH 84A and 84B, with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is designed primarily for the student studying business, life science, social science, or engineering technology who wish an overview of the practical aspects of Calculus, rather than the more rigorous development found in the three semester sequential Calculus series (MATH 1, 2, 3). (UC, CSU, CAN MATH 30)

MATH 15 Selected Topics: Mathematics Units 0.5-2
Prerequisites: Reading level II or concurrent enrollment in reading; MATH 80 or MATH 83A and 83B with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is designed to enable the College to offer instruction in one of the specialized areas of mathematics not already covered by the existing curriculum. (UC, CSU)

MATH 17A Concepts and Structures of Mathematics Units 3
Prerequisites: MATH 82 or MATH 84B with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is one of two courses designed for the pre-service elementary teacher. Topics include the structure of the real number system, operations on the real numbers, and elementary number theory. (UC, CSU)

MATH 17B Concepts and Structures of Mathematics Units 3
Prerequisites: MATH 82 or MATH 84B with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is one of two courses designed for the pre-service elementary teacher. Topics include problem solving, probability and statistics, the metric system, measurement, and geometry. (UC, CSU)

MATH 20 Finite Mathematics Units 3
Prerequisites: MATH 82 or MATH 84A and 84B with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is designed to fulfill the mathematics requirements of the student in business administration, management, life sciences, and social sciences. The course includes review topics in algebra, matrices, linear programming, elementary probability theory, Markov chains, decision theory, mathematics of finance, and game theory. Graphing calculators are used extensively. The TI-82 is used for instructor demonstrations. (UC, CSU, CAN MATH 12)

MATH 30 College Algebra Units 4
Prerequisites: Reading level II; MATH 82, or MATH 84A and 84B, each with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is a detailed study of algebraic functions and equations, including conic sections, at the college level. Graphing calculators are used extensively. Instructor demonstrations utilize the TI-82 calculator. Trigonometry (MATH 31) may be taken concurrently with College Algebra (MATH 30). College Algebra and Trigonometry together are equivalent to Pre-Calculus (MATH 36). The student may not receive credit for both MATH 30 and MATH 36. (UC, CSU)

MATH 31 Trigonometry Units 3
Prerequisites: MATH 82, or MATH 84A and 84B, with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is a detailed study of basic trigonometry and of trigonometric functions. Graphing calculators are used extensively. The TI-82 is used for instructor demonstrations. MATH 30 (College Algebra) and MATH 31 (Trigonometry) together are equivalent to MATH 36. The student may not receive credit for both MATH 31 and MATH 36. (CSU)

MATH 36 Pre-Calculus Units 5
Prerequisites: MATH 82, or MATH 84A and 84B, with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: MATH 81 (Geometry) is recommended).

This course is a study of the algebra of polynomial and transcendental functions, the trigonometric functions and their applications, conic sections, and other topics necessary for success in calculus. Graphing calculators are used extensively. The TI-82 is used for instructor demonstrations. The student may not receive credit for both MATH 36 (Precalculus) or, MATH 30 (College Algebra) and MATH 31 (Trigonometry). MATH 30 and MATH 31 are equivalent to MATH 36. (UC, CSU, CAN MATH 16)

MATH 50H Special Studies: Mathematics Units 1-2
Prerequisites: MATH 1 or 12, with a grade of "B" or better; or permission of instructor.
Limitations on Enrollment: None.
Advisories: None.

This course is offered to any student qualified to do advanced work in mathematics. Projects and assignments must be arranged and approved by the instructor and the division chairperson before enrolling in the course, and the course may be repeated for a maximum of four units. (CSU)

MATH 72 Review of Arithmetic Units 3
Prerequisites: None.
Limitations on Enrollment: None.
Advisories: None.

This course is designed as a review of basic arithmetic. The course includes whole numbers, fractions, decimals, ration and proportion, percents, and systems of measurement. Units earned in this course do not count toward an associate degree.

MATH 75 Selected Topics: Mathematics Units 0.5-3
Prerequisites: None; exempt from assessment testing.
Limitations on Enrollment: None.
Advisories: None.

This course is designed to offer instruction in one or more of the specialized areas of mathematics not already covered by the existing curriculum. Units in this course do not count toward an associate degree.

MATH 80 Elementary Algebra Units 4
Prerequisites: Reading level II and Math level II.
Limitations on Enrollment: None.
Advisories: MATH 80L.

This course is a first course in algebra. Specific topics include polynomials, factoring of polynomials, rational expressions, ratio and proportionality, solving linear and quadratic equations, elementary graphing in two dimensions, elementary systems of linear equations, square roots, and various application problems. The course is comparable to a first year algebra course in local K-12 schools.

MATH 80L Elementary Algebra Workshop Units 1
Prerequisites: Reading level II and Math level II; concurrent enrollment in MATH 80, MATH 83A or MATH 83B.
Limitations on Enrollment: None.
Advisories: None.

This course is designed to supplement the lecture course Elementary Algebra (MATH 80). The student is instructed in the use of technical learning tools, such as videotapes and computer tutorial software, as well as instruction in various learning activities, such as seminars on group-study mathematics study skills, improving examination success, and conquering mathematics anxiety. The student practices these skills in application to MATH 80 course work as part of the workshop sessions. Included is a review of arithmetic skills necessary for success in MATH 80.

MATH 81 Plane Geometry Units 3
Prerequisites: Reading level II or concurrent enrollment in reading; MATH 80 or MATH 83A and 83B with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is designed to present fundamentals of Euclidean plane geometry necessary for understanding two dimensional spatial relationships. Logical thinking is stressed and formal proofs are required. The content includes reasoning, axiomatic foundations, basic theorems, numerical relationships, polygons and areas, circles, and surface and volume.

MATH 82 Intermediate Algebra Units 4
Prerequisites: Reading level II and Math level II; MATH 80 with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: Concurrent enrollment in MATH 82L is recommended.

This course is a second course in algebra. Specific topics include linear and quadratic inequalities, graphing of linear and quadratic functions, polynomial factoring, rational expressions, radicals, complex numbers, solving systems of linear equations using Cramer's Rule, conic sections, and exponential and logarithmic functions.

MATH 82L Intermediate Algebra Workshop Units 1
Prerequisites: Reading level II and Math level II; concurrent enrollment in MATH 82, MATH 84A, or MATH 84B.
Limitations on Enrollment: None.
Advisories: None.

This course is designed to supplement the lecture course Intermediate Algebra (MATH 82). The student is instructed in the use of technical learning tools such as videotapes and computer tutorial software, as well as instruction in various learning activities, such as seminars on group-study, mathematics study skills, improving examination success and conquering mathematics anxiety. The student practices these skills in application to MATH 82 course work as part of the workshop sessions. Included is a review of arithmetic and elementary algebra skills necessary for success in MATH 82.

MATH 83A Elementary Algebra Units 2
Prerequisites: Reading level II and Math level II.
Limitations on Enrollment: None.
Advisories: None.

This course is equivalent to the first half of MATH 80 (Elementary Algebra) and it allows the student more study time for the course topics. Completion of both MATH 83A and MATH 83B is equivalent to completion of MATH 80. The entering student needs to have a satisfactory understanding of basic arithmetic, including fractions, decimals, and percents.

MATH 83B Elementary Algebra Units 2
Prerequisites: Reading level II and Math level II; MATH 83A with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is equivalent to the second half of MATH 80 (Elementary Algebra) and it allows the student more study time for the course topics. Completion of both MATH 83A and MATH 83B is equivalent to completion of a first course in algebra.

MATH 84A Intermediate Algebra Units 2
Prerequisites: Reading level II and Math level II; MATH 80 or MATH 83A and 83B or equivalent, each with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is equivalent to the first half of a second course in algebra. This course is designed to allow the student more time for the course topics. Completion of both MATH 84A and MATH 84B is equivalent to completion of a second course in algebra.

MATH 84B Intermediate Algebra Units 2
Prerequisites: Reading level II and Math level II; MATH 84A or equivalent with a grade of "C" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is equivalent to the second half of a second course in algebra. This course is designed to allow the student more time for the course topics. Completion of both MATH 84A and MATH 84B is equivalent to completion of a second course in algebra.

MATH 85A Mathematics Laboratory Techniques: Mathematica Units 1-3
Prerequisites: MATH 36 or combination of MATH 30 and MATH 31 with a grade of "B" or better.
Limitations on Enrollment: None.
Advisories: None.

This course is designed to prepare the student to serve as a laboratory assistant and to aid other students using the Mathematics Laboratory. The student serves as a laboratory assistant.

MATH 88 Prealgebra Units 3
Prerequisites: Math level II.
Limitations on Enrollment: None.
Advisories: None.

This course is designed for the student needing to bridge the gap between arithmetic and algebra. Instruction is provided in the computational and problem-solving skills necessary for academic, vocational, and/or professional programs. Units earned in this course do not count toward the associate degree.

MATH 88L Prealgebra Laboratory Units 0.5-1
Prerequisites: Math level II.
Limitations on Enrollment: None.
Advisories: Concurrent enrollment in MATH 88.

This course is designed to provide the student with individual diagnosis, prescription, and instruction in the prealgebra topics covered in MATH 88 in the laboratory setting. Units in this course do not apply toward the associate degree.




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